Abstract
The systems we study are homogeneous bilinear, single-input:
where the state space is R n0 = Rn - {0} (since the origin is an isolated equilibrium point), and the controls u are scalar. We are concerned with conditions, sufficient or necessary, for state controllability of these systems for bounded or unbounded controls.
This research was supported in part by the National Science Foundation’s Grants, GK-36531, GK-38694 and GK-22905A #2.
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Cheng, GS.J., Tarn, T.J., Elliott, D.L. (1975). Controllability of Bilinear Systems. In: Ruberti, A., Mohler, R.R. (eds) Variable Structure Systems with Application to Economics and Biology. Lecture Notes in Economics and Mathematical Systems, vol 111. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-47457-6_5
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DOI: https://doi.org/10.1007/978-3-642-47457-6_5
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